Find the 20th term in the following sequence whose nth term

Question

Find the 20^th term in the following sequence whose n^th term \( a_n=\dfrac{n(n-2)}{(n+3)}\)

Asked by Abhisek | 1 year ago | 86

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Class 11 Maths Sequences and Series Add Answer

Class 11 Maths Sequences and Series View Answer

Class 11 Maths Sequences and Series View Answer

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Class 11 Maths Sequences and Series View Answer

Find the geometric means of the following pairs of numbers:

(i) 2 and 8

(ii) a³b and ab³

(iii) –8 and –2

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Class 11 Maths Sequences and Series View Answer

Accepted Answer

The given equation is \( a_n=\dfrac{n(n-2)}{(n+3)}\)

On substituting n = 20, we get

\( a_{20}=\dfrac{20(20-2)}{(20+3)}\)

\( a_{20}=\dfrac{360}{23}\)

Therefore, the 20^th term of

\( a_n=\dfrac{n(n-2)}{(n+3)}\) is \( \dfrac{360}{23}\)

Answered by Pragya Singh | 1 year ago